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Questions in mathematics

[Done] Which equations have the same value of [tex]$x$[/tex] as [tex]$\frac{3}{5}(30 x-15)=72$[/tex]? Select three options. [tex]$18 x-15=72$[/tex] [tex]$50 x-25=72$[/tex] [tex]$18 x-9=72$[/tex] [tex]$3(6 x-3)=72$[/tex] [tex]$x=4.5$[/tex]

[Done] Bhavin's birthday is on Monday 29th May. On what day of the week will be Rachit's birthday in the same year if Rachit was born on 17th November? a. Saturday b. Sunday c. Wednesday d. Friday

[Done] Using the given digits only once, make all possible 3-digit numbers. Then arrange them in descending order: 6, 5, 9 8, 4, 1 2, 5, 3

[Done] A parabola has a vertex at $(0,0)$. The equation for the directrix of the parabola is $x=-4$. In which direction does the parabola open? up down right left

[Done] Grep has a credit card which requires a minimum monthly payment of 2.00% of the total balance or $11.45. Consumption monthly is represented in the table below: | Month | Cost ($) | |---|---| | Jan | 600 | | Feb | 335 | | Mar | 269.8 | | Apr | 97.24 | | May | 112.51 | | Jun | 72.4 | | Jul | 41.14 | | Aug | 101.54 | Grep makes only the minimum monthly payment in May, June, and July. What will his total balance be after he makes the monthly payment for July? (Assume that interest is compounded before the monthly payment is made, and that the monthly payment is made at the end of the month. Round all dollar values to the nearest cent.)

[Done] Graph the equations: \[ \begin{array}{l} y=3 x+1 \\ y=-x+1 \end{array} \] On the desmos/graphing calculator and sketch the graph. Make sure to have two points and use a ruler.

[Done] Solve the radical equation. Check for extraneous solutions. [tex]$\sqrt{t}+7=4$[/tex] A. [tex]$t=-3$[/tex] B. No solution C. [tex]$t =9$[/tex] D. [tex]$t=-9$[/tex]

[Done] Find out if the following numbers are in proportion: 1) [tex]$6 \quad 10 \quad 17 \quad 53$[/tex]

[Done] $x+\frac{3}{4}=\frac{6}{7}$

[Done] Suppose the population of trout in a certain stretch of a river is 4000. In about how many years will the population of trout be 700 if the decay rate is 35%? Use the equation [tex]$700=(4000)(0.65)^x$[/tex] and round the value of [tex]$x$[/tex] to the nearest year.